On Gauss compounding of symmetric weighted arithmetic means
نویسندگان
چکیده
منابع مشابه
Concavity of weighted arithmetic means with applications
We prove that the following three conditions together imply the concavity of the sequence Pn i0 aibi= Pn i0 ai : concavity of fbng, log-concavity of fang and nonincreasing of f bn ÿ bnÿ1= anÿ1=an ÿ anÿ2=anÿ1g. As a consequence we get necessary and sufficient conditions for the concavity of the sequences fSnÿ1 x=Sn xg and fSn x=Sn xg for any nonnegative x, where Sn x is the nth partial ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.09.069